An article that we have written:
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Super-exceptional geometry origin of heterotic M-theory and super-exceptional embedding construction of M5
download at:
Abstract. In the further quest to mathematically formulating M-theory, we consider three major open problems: A first-principles construction of the single (abelian) M5-brane Lagrangian density, second the gauge enhancement in heterotic M-theory, and third the superymmetric enhancement of exceptional M-geometry. By combining techniques from homotopy theory and from supergeometry to what we call super homotopy theory, we present an elegant joint solution to all three problems: After explaining how charge-quantization of the C-field in Cohomotopy reveals D'Auria-Fré‘s “hidden supergroup” of 11d supergravity as the super-exceptional target space, in the sense of Bandos, for M5-brane sigma-models, we prove, in exceptional generalization of the “doubly supersymmetric” superembedding formalism, that a Perry-Schwarz-type Lagrangian for single (abelian) $\mathcal{N} = (1,0)$ M5-branes emerges as the super-exceptional trivialization of the M5-brane cocycle along the super-exceptional embedding of the "half" M5-brane locus, super-exceptionally compactified on the Hořava-Witten circle fiber.
From inspection of the resulting 5d super Yang-Mills Lagrangian we find that the extra fermion field appearing in super-exceptional M-geometry, whose physical interpretation had remained open, is the M-theoretic avatar of the gaugino field on the heterotic MO9-planes.
Based on:
Domenico Fiorenza, Hisham Sati, Urs Schreiber
The rational higher structure of M-theory
Proceedings of the LMS-EPSRC Durham Symposium:
Higher Structures in M-Theory, August 2018
Fortschritte der Physik, 2019
Domenico Fiorenza, Hisham Sati, Urs Schreiber
Higher T-duality of super M-branes
Higher T-duality in M-theory via local supersymmetry
Physics Letters B Volume 781
10 June 2018, Pages 694-698
Domenico Fiorenza, Hisham Sati, Urs Schreiber:
Twisted Cohomotopy implies level quantization of the full 6d Wess-Zumino-term of the M5-brane
Related talks:
Super p-Brane Theory emerging from Super Homotopy Theory
talk at StringMath2017
Hamburg 2017
Equivariant Cohomotopy and Branes
talk at String and M-Theory: The New Geometry of the 21st Century
Singapore 2018
The rational higher structure of M-theory
talk at Higher Structures in M-Theory
Durham 2018
The Higher Structure of 11d Supergravity
talk at Souriau 2019
Paris 2019
Twisted Cohomotopy implies M-theory anomaly cancellation
Brussels 2019
Last revised on August 3, 2019 at 18:03:54. See the history of this page for a list of all contributions to it.